Classification of all finite-dimensional nonlinear filters from Lie algebraic point of view: State dimension 2

Stephen S.-T Yau ,Lixing Jia Lixing Jia,Xi Wu Xi Wu,A Rasoulian

doi:10.1109/cdc.2007.4435046

Classification of all finite-dimensional nonlinear filters from Lie algebraic point of view: State dimension 2

Stephen S.-T Yau , Lixing Jia Lixing Jia + Show 2 more

https://doi.org/10.1109/cdc.2007.4435046

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Publication Date: Jan 1, 2007

Citations: 13

Affiliation: University of Illinois at Chicago, Chicago State University, University of Tehran

#Lie Algebraic Point Of View #Finite-dimensional Nonlinear Filters + Show 8 more

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Abstract

In this paper, we give a complete classification of all finite dimensional estimation algebras with state space dimension 2. It is shown that a finite-dimensional estimation algebra with state dimension 2 can only have dimension less than or equal to 6. We then use the Wei-Norman approach to construct all finite-dimensional nonlinear filters with state space dimension 2 from the Lie algebraic point of view.

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